Search a number
-
+
47036634000 = 2435323932801
BaseRepresentation
bin101011110011100110…
…100001001110010000
311111102001201120200120
4223303212201032100
51232312334242000
633335222150240
73253416535506
oct536346411620
9144361646616
1047036634000
1118a47a54344
129148582380
134587b43c15
1423c2d42676
15135463a6a0
hexaf39a1390

47036634000 has 160 divisors (see below), whose sum is σ = 152285253120. Its totient is φ = 12490240000.

The previous prime is 47036633981. The next prime is 47036634017. The reversal of 47036634000 is 43663074.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1417600 + ... + 1450400.

It is an arithmetic number, because the mean of its divisors is an integer number (951782832).

Almost surely, 247036634000 is an apocalyptic number.

47036634000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47036634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76142626560).

47036634000 is an abundant number, since it is smaller than the sum of its proper divisors (105248619120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47036634000 is a wasteful number, since it uses less digits than its factorization.

47036634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33066 (or 33050 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The spelling of 47036634000 in words is "forty-seven billion, thirty-six million, six hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 239 240 250 300 375 400 478 500 600 717 750 956 1000 1195 1200 1434 1500 1912 2000 2390 2868 3000 3585 3824 4780 5736 5975 6000 7170 9560 11472 11950 14340 17925 19120 23900 28680 29875 32801 35850 47800 57360 59750 65602 71700 89625 95600 98403 119500 131204 143400 164005 179250 196806 239000 262408 286800 328010 358500 393612 478000 492015 524816 656020 717000 787224 820025 984030 1312040 1434000 1574448 1640050 1968060 2460075 2624080 3280100 3936120 4100125 4920150 6560200 7839439 7872240 8200250 9840300 12300375 13120400 15678878 16400500 19680600 23518317 24600750 31357756 32801000 39197195 39361200 47036634 49201500 62715512 65602000 78394390 94073268 98403000 117591585 125431024 156788780 188146536 195985975 196806000 235183170 313577560 376293072 391971950 470366340 587957925 627155120 783943900 940732680 979929875 1175915850 1567887800 1881465360 1959859750 2351831700 2939789625 3135775600 3919719500 4703663400 5879579250 7839439000 9407326800 11759158500 15678878000 23518317000 47036634000